Introduction to Biometrics (FRST 231) Name: UBC Department of Forest Resources Management The University of British Columbia Student number: Lab 2 2) A lumber sawmill in British Columbia had a very prosperous year. The following observa- tions represent the number of hours of employee overtime required to meet consumer de- mand for each of the last 50 weeks (the data has been sorted from low to high) 21.0 34.5 41.0 46.2 51.0 54.5 60.0 63.4 70.0 75.5 21.0 35.5 41.3 49.9 51.4 55.0 60.3 65.4 70.0 80.0 29.9 36.2 41.3 50.0 51.4 58.0 60.8 67.3 70.9 80.5 31.2 37.0 44.6 50.2 53.0 59.9 60.8 67.7 71.6 88.4 31.8 39.7 45.0 50.7 53.2 60.0 61.5 69.9 75.0 89.9 a) [Canvas entry] Using Lab 1 results, calculate the mean from your frequency distribution (2 decimals). b) [Canvas entry] Compare the mean derived from the frequency distribution calculated in the previous question with arithmetic mean you obtained in Lab 1, and indicate which one is more accurate and why. c) [Canvas entry] Calculate the variance from the raw data using the working formula (2 decimals).d) [Canvas entry] Calculate the variance from the frequency distribution (2 decimals). e) [Canvas entry] Calculate the standard deviation from the raw data (2 decimals). () [Canvas entry] Calculate the standard deviation from the frequency distribution (2 dec- imals). g) [Canvas entry] Calculate lower and upper values for the range that includes 2 standard deviations (from raw data) to each side of the mean (2 decimals).h) [Canvas entry] Count the number of weeks of your data that fall within the range . Are the results consistent with Chebyshev's Theorem? Are the results consistent with the Em- pirical Rule for two standard deviations